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212320242 = 23217798783
BaseRepresentation
bin11001010011110…
…11111111110010
3112210111222121200
430221323333302
5413323221432
633022432030
75155456311
oct1451737762
9483458550
10212320242
11a9938382
125b132616
1334cabca4
14202ac278
151398ea7c
hexca7bff2

212320242 has 48 divisors (see below), whose sum is σ = 493309440. Its totient is φ = 65759616.

The previous prime is 212320237. The next prime is 212320243. The reversal of 212320242 is 242023212.

It is a super-5 number, since 5×2123202425 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212320243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19783 + ... + 28565.

It is an arithmetic number, because the mean of its divisors is an integer number (10277280).

Almost surely, 2212320242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212320242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246654720).

212320242 is an abundant number, since it is smaller than the sum of its proper divisors (280989198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212320242 is a wasteful number, since it uses less digits than its factorization.

212320242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212320242 is about 14571.2127841165. The cubic root of 212320242 is about 596.5732832781.

Adding to 212320242 its reverse (242023212), we get a palindrome (454343454).

The spelling of 212320242 in words is "two hundred twelve million, three hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 474 711 1343 1422 2686 4029 8058 8783 12087 17566 24174 26349 52698 79047 149311 158094 298622 447933 693857 895866 1343799 1387714 2081571 2687598 4163142 6244713 11795569 12489426 23591138 35386707 70773414 106160121 212320242